SOLUTION: Give the degree measure of the central angle of a circle of radius 10 and subtended by an arc measure of 4. I'd appreciate it if there's an answer and solution to the problem. Than

Algebra ->  Trigonometry-basics -> SOLUTION: Give the degree measure of the central angle of a circle of radius 10 and subtended by an arc measure of 4. I'd appreciate it if there's an answer and solution to the problem. Than      Log On


   

Question 1038797: Give the degree measure of the central angle of a circle of radius 10 and subtended by an arc measure of 4. I'd appreciate it if there's an answer and solution to the problem. Thank you.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Give the degree measure of the central angle of a circle of radius 10 and subtended by an arc measure of 4.
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Angle = 4/10 radians.
To convert to degs,
degs = rads*(180/pi)

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Give the degree measure of the central angle of a circle of radius 10 and subtended by an arc highlight%28cross%28measure%29%29 length of 4.
I'd appreciate it if there's an answer and solution to the problem. Thank you.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

S = R%2Atheta   (where S is the length of an arc)

Substituting,

  4 = 10%2Atheta,  ---> 

  theta = 4%2F10 rad = 2%2F5 rad = 

= %282%2F5%29%2A%28360%2F%282%2Api%29%29 degs = 144%2F6.28 degs = 22.9 degs (approximately).


Notice to the sender: In this context it would be better to formulate the problem like this:

highlight%28cross%28Give%29%29 Find the radian measure of the central angle of a circle of radius 10 highlight%28cross%28and%29%29 subtended by an arc of highlight%28cross%28measure%29%29 the length of 4.